An accurate numerical technique for solving fractional advection-diffusion equation with generalized Caputo derivative
DOI10.1007/S00033-024-02309-5MaRDI QIDQ6612974
Publication date: 1 October 2024
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
stabilityconvergencefractional advection-diffusion equationultraspherical polynomialgeneralized Caputo fractional derivative
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Fractional partial differential equations (35R11) Initial-boundary value problems for linear higher-order PDEs (35G16)
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